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Editorial Reviews
Review
Martin Weitzman has written an innovative and important new book on dynamic optimization--in particular, the Maximum Principle of optimal control theory--and its application to economics. It is an excellent textbook on optimal control theory, but it is much more than that. It explains how much of capital theory can be formulated in terms of a prototype optimal control problem, and it shows how, in the context of a multisector growth model, the Maximum Principle can be used to obtain a comprehensive measure of national income. Thus, this book will appeal to several different audiences: graduate students in economics, practicing economists with an interest in capital theory, and environmental economists...Weitzman deserves considerable applause for this clear and elegant book.
--Robert S. Pindyck (Journal of Economic Literature )
--Robert S. Pindyck (Journal of Economic Literature )
Product Description
This compact and original exposition of optimal control theory and applications is designed for graduate and advanced undergraduate students in economics. It presents a new elementary yet rigorous proof of the maximum principle and a new way of applying the principle that will enable students to solve any one-dimensional problem routinely. Its unified framework illuminates many famous economic examples and models.
This work also emphasizes the connection between optimal control theory and the classical themes of capital theory. It offers a fresh approach to fundamental questions such as: What is income? How should it be measured? What is its relation to wealth?
The book will be valuable to students who want to formulate and solve dynamic allocation problems. It will also be of interest to any economist who wants to understand results of the latest research on the relationship between comprehensive income accounting and wealth or welfare.
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Inside This Book
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Key Phrases - Statistically Improbable Phrases (SIPs):
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family firm problem, rapid approach policy, state evaluation function, dynamic competitive equilibrium, income version, widget entrepreneur, growth with pollution, sustainable equivalent, stochastic wealth, ideal accountant, curved utility function, optimal growth problem, sustainable economic yield, stationary rate, most rapid approach, generalized wealth, multisector growth, dynamic control model, stochastic income, infinite discount rate, stochastic diffusion process, convex environment, attainable possibilities, consumption trajectory, welfare interpretation Key Phrases - Capitalized Phrases (CAPs): (learn more)
Itô's Expectation Formula, Jensen's Inequality, Optimal Niultisector Growth, Taylor's Theorem New!
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Front Cover | Table of Contents | First Pages | Index | Surprise Me!
family firm problem, rapid approach policy, state evaluation function, dynamic competitive equilibrium, income version, widget entrepreneur, growth with pollution, sustainable equivalent, stochastic wealth, ideal accountant, curved utility function, optimal growth problem, sustainable economic yield, stationary rate, most rapid approach, generalized wealth, multisector growth, dynamic control model, stochastic income, infinite discount rate, stochastic diffusion process, convex environment, attainable possibilities, consumption trajectory, welfare interpretation Key Phrases - Capitalized Phrases (CAPs): (learn more)
Itô's Expectation Formula, Jensen's Inequality, Optimal Niultisector Growth, Taylor's Theorem New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
Citations (learn more)
This book cites 51
books:
See all 51 books this book cites
- Our Common Future (Oxford Paperback Reference) by World Commission On Environment and Development on page 196, and Back Matter
- Stochastic Integrals: An Introduction (Advanced lectures in mathematics) by Heinrich von Weizsaecher in Back Matter
- Advanced Macroeconomics by David Romer in Back Matter
- Mathematical Bioeconomics: The Optimal Management of Renewable Resources (Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts) by Colin W. Clark in Back Matter
- National Accounting and Capital (Edward Elgar Monographs) by John M. Hartwick in Back Matter
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